Please help me out please

Linda made 72 more cards than Paul during the week.

Let :

Linda = x

Linda = x Paul = 1/3 of Linda's rate = x/3

Linda = x Paul = 1/3 of Linda's rate = x/3 Aaron = 2/3 = 2x / 3

Number of cards made by Aaron in a week = 72

This means :

2x/3 = 72

We can find x

2x = 72 × 3

2x = 216

Divide both sides by 2

x = 216 /2

x = 108

Hence, Number of cards made by Linda = 108

Recall :

Paul = x/3

Paul = 108 /3

Paul = 36 cards

Number of cards Linda makes more than Paul :

Linda's cards - Paul's cards

108 - 36 = 72 cards

Hence, Linda made 72 cards more than Paul.

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Answer:

Linda makes 72 more handmade cards than Paula

Step-by-step explanation:

First you need to find out how many handmade cards Linda makes by making a proportion.

The first ratio is 3 to 2 and since we are trying to find out how many cards Linda makes, it will be represented by x.

3 to 2 represents how many Linda makes to how many Aaron makes so the second ratio will be x to 72 since that's how many cards Aaron made.

Now you can put it into a proportion:

3/2 = x/72

Next you have to do Cross Product Property to find x

So 3*72 = 216

2*x = 2x

2x = 216

Now divide 2 by itself and then by 216 to find what x equals.

2/2 = 1

216/2 = 108

So Linda makes 108 handmade cards.

Now we need to find how many cards Paula made.

The ratio for how many Paula makes to how many Linda makes is 1 to 3

Since we are trying to figure out how many Paula made we need to represent it with x.

The second ratio will be x to 108 since 108 is how many cards Linda made.

Now you can put it into a proportion:

1/3 = x/108

Then you need to do Cross Product Property to find x

So 1*108 = 108

3*x = 3x

3x = 108

Now we need to divide 3 by itself to isolate x and then divide 3 by 108 to find what it equals.

3/3 = 1

108/3 = 36

So Paula makes 36 handmade cards.

Since the question is asking for how many more does Linda make than Paula you need to subtract 108 and 36.

So 108 - 36 = 72

Linda makes 72 more handmade cards than Paula.

Yes, both the expressions are equivalent.

What is an expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.

Given that, x/3 is equivalent to 1/3x, yes or not?

So, we can write x/3 as

1/3×x

= x/3

Since, either you multiply by 1/3 or divide by 3 both are same thing,

1/3×x = x/3 = 0.333x

for example; 4÷2 = 2 or 4×1/2 = 2, in both case the answer is same, that means the expression given are also equal.

Hence, we can conclude both the expressions are equivalent.

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Answer:

17. 637

Step-by-step explanation:

0.5 kilograms equal 17.637 ounces